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Section B

Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations

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Pages 562-578 | Received 17 Sep 2013, Accepted 01 Mar 2014, Published online: 20 May 2014
 

Abstract

In this paper, we consider a singularly perturbed boundary-value problem for fourth-order ordinary differential equation (ODE) whose highest-order derivative is multiplied by a small perturbation parameter. To solve this ODE, we transform the differential equation into a coupled system of two singularly perturbed ODEs. The classical central difference scheme is used to discretize the system of ODEs on a nonuniform mesh which is generated by equidistribution of a positive monitor function. We have shown that the proposed technique provides first-order accuracy independent of the perturbation parameter. Numerical experiments are provided to validate the theoretical results.

2010 AMS Subject Classification:

ACM Computing Classification System Code:

Acknowledgements

The authors express their sincere thanks to the referees for their valuable suggestions.

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